You could just make it so they can change names, but the URL never changes. because, some people make up little production groups, pretend ones, like that they create, and need to change it.
I wont have to, but some people will. And if anyone joins like the Locks, or Clocks, or a gang of some sort, they will need to change the name to like MartinClock, etc. And I think you should be able to change it, as thats a unique thing about here, and one main thing on NG is, the amazing groups, which makes it unique also.
But its all up to the staff, in the long run.